531771686016 has 128 divisors (see below), whose sum is σ = 1437302318400. Its totient is φ = 174150647808.

The previous prime is 531771685999. The next prime is 531771686081. The reversal of 531771686016 is 610686177135.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×531771686016² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 531771686016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45147520 + ... + 45159296.

Almost surely, 2^531771686016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531771686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718651159200).

531771686016 is an abundant number, since it is smaller than the sum of its proper divisors (905530632384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531771686016 is a wasteful number, since it uses less digits than its factorization.

531771686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13846 (or 13834 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 531771686016 in words is "five hundred thirty-one billion, seven hundred seventy-one million, six hundred eighty-six thousand, sixteen".